Atkin-Lehner |
5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31265b |
Isogeny class |
Conductor |
31265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
728414631354368465 = 5 · 1314 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ -4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267305,-33747544] |
[a1,a2,a3,a4,a6] |
Generators |
[-11279602:178161467:39304] |
Generators of the group modulo torsion |
j |
437608510454961/150910183385 |
j-invariant |
L |
2.8666832473657 |
L(r)(E,1)/r! |
Ω |
0.21586956086007 |
Real period |
R |
13.279701111839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2405d3 |
Quadratic twists by: 13 |